length n = 13
dimension k = 9
alphabet length q = 2

minimum distance d = 2

generator matrix:
0000000011111
0000000101111
0000001001111
0000010001111
0000100001111
0001000001111
0010000001111
0100000001111
1000000000011

projective group of automorphisms generated by:
000001000
001000000
100000000
010000000
000100000
000000010
000010000
000000100
000000001

001000000
010000000
000100000
000010000
000000100
000000010
100000000
000001000
000000001